This phase I trial studies the side effects and best dose of cisplatin in treating patients with stage IIIB-IV non-small cell lung cancer or tumors that have spread from where they started to the lung (metastasis). Drugs used in chemotherapy, such as cisplatin, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving cisplatin directly into the arteries around the tumor may kill more tumor cells and cause less damage to normal tissue.